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Generalization of Boneh and Durfee’s Attack for Arbitrary Public Exponent RSA

by R. Santosh Kumar, C. Narasimham, S. Pallam Setty
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 49 - Number 19
Year of Publication: 2012
Authors: R. Santosh Kumar, C. Narasimham, S. Pallam Setty
10.5120/7880-1190

R. Santosh Kumar, C. Narasimham, S. Pallam Setty . Generalization of Boneh and Durfee’s Attack for Arbitrary Public Exponent RSA. International Journal of Computer Applications. 49, 19 ( July 2012), 39-42. DOI=10.5120/7880-1190

@article{ 10.5120/7880-1190,
author = { R. Santosh Kumar, C. Narasimham, S. Pallam Setty },
title = { Generalization of Boneh and Durfee’s Attack for Arbitrary Public Exponent RSA },
journal = { International Journal of Computer Applications },
issue_date = { July 2012 },
volume = { 49 },
number = { 19 },
month = { July },
year = { 2012 },
issn = { 0975-8887 },
pages = { 39-42 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume49/number19/7880-1190/ },
doi = { 10.5120/7880-1190 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:46:40.058613+05:30
%A R. Santosh Kumar
%A C. Narasimham
%A S. Pallam Setty
%T Generalization of Boneh and Durfee’s Attack for Arbitrary Public Exponent RSA
%J International Journal of Computer Applications
%@ 0975-8887
%V 49
%N 19
%P 39-42
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In 2000, Boneh-Durfee extended the bound for low private exponent from 0. 25 (provided by wiener) to 0. 292 with public exponent size is same as modulus size. They have used powerful lattice reduction algorithm (LLL) with coppersmith's theory of polynomials. In this paper we generalize their attack to arbitrary public exponent.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Lattices LLL RSA Cryptanalysis Boneh-Durfee

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